Number Theory Seminar
Thursday 22 February 2007, MR3, 2:30pm
In this talk I will describe two general formulae of Gross-Zagier type.
One is for CM-points on Shimura curves over totally real number fields,
and other is about Gross-Schoen cycles on triple product of Shimura curves.
One ingredient of the proof is to generalize some previous work of
Hirzebruch-Zagier and Borcherds about the modularity of some
generating function of divisors on the product of Shimura curves.